Finite-time control of discrete-time linear systems: Analysis and design conditions

被引：210

作者：

Amato, Francesco ^{[2
]}

Ariola, Marco ^{[1
]}

Cosentino, Carlo ^{[2
]}

机构：

[1] Univ Napoli Parthenope, Dipartimento Tecnol, Ctr Direz, I-80143 Naples, Italy

[2] Magna Graecia Univ Catanzaro, Sch Comp & Biomed Engn, I-88100 Catanzaro, Italy

来源：

AUTOMATICA | 2010年 / 46卷 / 05期

关键词：

Discrete-time systems; Linear systems; Finite-time stability; LMIs; Output feedback; STABILITY; STABILIZATION;

D O I：

10.1016/j.automatica.2010.02.008

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we deal with some finite-time control problems for discrete-time, time-varying linear systems. First we provide necessary and sufficient conditions for finite-time stability; these conditions require either the computation of the state transition matrix of the system or the solution of a certain difference Lyapunov inequality. Then we address the design problem. The proposed conditions allow us to find output feedback controllers which stabilize the closed loop system in the finite-time sense; all these conditions can be expressed in terms of LMIs and therefore are numerically tractable, as shown in the example included in the paper. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：919 / 924

页数：6

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